Browsing Dissertations & Theses by Title
Now showing items 1-20 of 173
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A Bisection Method for the Banded Hyperbolic Quadratic Eigenvalue Problem
(2016-05-10)It is well-known that the eigenvalues of a Hermitian matrix in a given interval can be approximated within a predefined error tolerance using the bisection method as a direct application of the Sylvester's Law of Inertia. ... -
A Harmonic Function Method for EEG Source Reconstruction
(2016-12-19)Neuronal activities generate the electrical current in the brain, and further result in the potential changes over the scalp. Electroencephalography (EEG) is a technique used to record the potential changes on the ... -
A Mathematical Model of Hepatitis C Virus Infection Incorporating Immune Responses and Cell Proliferation
(2017-08-03)This thesis introduces a mathematical model of differential equations for the chronic hepatitis C virus (HCV) infection, which is a contagious disease that infects the liver cells. Firstly, we present the early mathematical ... -
A Necessary and Sufficient Condition for the Asymptotic Normality of the Quantile Estimator in the Deconvolution Problem
(2022-05-16)In this study, we examine the estimation of a quantile function when we have n observations coming from the convolution model contaminated by additive measurement errors. Under certain assumptions, a kernel type deconvolution ... -
A Novel Regularized Orthonormalized Partial Least Squares Model for Multi-view Learning
(2023-08-15)Over the past few years, the size of data dimensions or features has been increasing in various fields of science and engineering, owing to the rapid pace of data collection and the development of more advanced storage ... -
A NOVEL SUPERVISED DIMENSIONALITY REDUCTION METHOD: INTEGRATING PCA WITH SVM
(2021-07-06)Data curation and storage methods have changed over the past few decades with the use of new technologies, and gathering data on a huge number of features (dimensions) is now very common among diverse scientific and ... -
A SNAPSHOT OF THE ALIGNMENT OF UNIVERSITY STUDENTS’ MATHEMATICAL PROBLEM SOLVING PRACTICES TO A LIKERT SCALE ASSESSMENT OF MATHEMATICAL PROBLEM SOLVING
(2017-05-22)This study investigates the alignment of students' actual problem-solving practices and compares them to the outcomes on a Likert scale mathematical problem solving (MPS) assessment. The Likert scale survey items developed ... -
A STUDY IN THE FREENESS OF FINITELY GENERATED Anp-MODULES UPON RESTRICTION TO PRINCIPAL SUBALGEBRAS
(2023-05-11)We are interested in quantitative information on the freeness of modules over a truncated polynomial ring when restricting to subalgebras generated by a linear form. After investigating the structure of the truncated ... -
A Study on Approximations of Totally Acyclic Complexes
(2021-08-23)Let $R$ be a commutative local ring to which we associate the subcategory $\Ktac(R)$ of the homotopy category of $R$-complexes, consisting of totally acyclic complexes. Further suppose there exists a surjection of Gorenstein ... -
A STUDY ON THE NONLOCAL SHALLOW-WATER MODEL ARISING FROM THE FULL WATER WAVES WITH THE CORIOLIS EFFECT
(2017-08-28)The Equatorial Undercurrent is a significant feature of the geophysical waves near the equator, which is one of the key factors to explain El Niño phenomenon. However, based on β-plane approximation, the classical theory ... -
A study on the rotational b-family of equations
(2018-04-30)In this thesis, we study a mathematical model of long-crested water waves propagating in one direction with the effect of Earth's rotation near the equator by following the formal asymptotic procedures. Firstly, we derive ... -
A study on traveling wave solutions in the shallow-water-type system
(2017-08-08)The study of water waves reveals the physical principles of many phenomena of scientific and engineering interest. In this dissertation I consider three models: two-component Camassa-Holm system(2CH), generalized two-component ... -
Abrading the enigma of the wound healing process: Modeling the inflammation, proliferation, and maturation stage
(2022-08-17)Wound healing encompasses a group of processes categorized into overlapping stages known as the inflammation, proliferation, and maturation/remodeling stage. The dynamics of these processes are important in studying outcomes ... -
ACADEMIC INTEGRATION AND SELF-REGULATION STRATEGIES IN PRECALCULUS AND CALCULUS I
(2022-08-15)This case study examines the self-regulation strategies and academic integration of first-semester undergraduate students enrolled in precalculus and first-semester calculus at a large urban university in the southwestern ... -
Adaptive Nonparametric Distribution-free Procedures In Factorial Data Analysis
(Mathematics, 2010-03-03)Many statisticians have questioned the basic assumptions about underlying models which might dominate the analysis of the data in many cases. The assumption of normality without much thought is of concern to a growing group ... -
Advancements And Applications Of Nonstandard Finite Difference Methods
A class of dynamically consistent numerical methods are analyzed for general n-dimensional productive-destructive systems (PDS). Using this analysis, a methodology for constructing positive and elementary stable nonstandard ... -
Analysis And Simulation In Neuron And Fibrosis Models
(Mathematics, 2009-09-16)In this work, we use analysis and numerical simulations to study the change of collective behaviorof two synaptically coupled square bursting systems, the effect of noise inan elliptic bursting system and foreign body ... -
Applications And Adaptations Of A Globally Convergent Numerical Method In Inverse Problems
(Mathematics, 2013-07-22)In our terminology "globally convergent numerical method" means a numerical method whose convergence to a good approximation of the correct solution is independent of the initial approximation in inverse problems. A numerical ... -
Applications Of Cubical Arrays In The Study Of Finite Semifields
(Mathematics, 2014-09-17)It is well known that any finite semifield, S, can be viewed as an n-dimensional vector space over a finite field or prime order, Fp, and that the multiplication in S defines and can be defined by an n x n x n cubical ... -
ASSESSING THE IMPACT OF VACCINATION AND BEHAVIOR CHANGE ON OUTBREAKS OF EMERGING RESPIRATORY DISEASES
(2021-05-03)The purpose of this dissertation is to use mathematical models to evaluate the impact of characteristics of respiratory diseases like influenza and COVID-19 either alone or co-circulating and how might influenza vaccine ...